2990437483680 has 1920 divisors, whose sum is σ = 11870042849280. Its totient is φ = 706692833280.

The previous prime is 2990437483679. The next prime is 2990437483717. The reversal of 2990437483680 is 863847340992.

2990437483680 is a `hidden beast` number, since 2 + 9 + 90 + 4 + 3 + 7 + 483 + 68 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 23546751777 + ... + 23546751903.

It is an arithmetic number, because the mean of its divisors is an integer number (6182313984).

Almost surely, 2^{2990437483680} is an apocalyptic number.

2990437483680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2990437483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935021424640).

2990437483680 is an abundant number, since it is smaller than the sum of its proper divisors (8879605365600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2990437483680 is a wasteful number, since it uses less digits than its factorization.

2990437483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 2990437483680 in words is "two trillion, nine hundred ninety billion, four hundred thirty-seven million, four hundred eighty-three thousand, six hundred eighty".